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3 years ago

11

map of a rectangular park has a length of 4 inches and a width of 6 inches. It uses a scale of 1 inch for every $$20 miles. What

is the actual area of the park?

1 answer:

Fofino [41]3 years ago

3 0

The area is 24 square inches so it would cost $480

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Spam e-mail containing a virus is sent to 1000 e-mail addresses. After 1 second, a recipient machine broadcasts 10 new spam e-ma

pickupchik [31]

Answer:

Answer explained below

Step-by-step explanation:

Spam e-mail containing a virus is sent to 1000 e-mail addresses. After 1 second, a recipient machine broadcasts 10 new spam e-mails containing the same virus, after which the virus disables itself on that machine. (1) Write a recursive definition (i.e. recurrence relation) to show how many spam emails will be sent out after n seconds. (2) Solve the recurrence relation. (3) How many e-mails are sent at the end of 20 seconds

1.START T=0.....

1000 EMAILS SENT AND RECEIVED BY 1000 M/CS.

T=1.....

EACH OF THE M/C SENDS 10 NEW MAILS ....

.................................

LET M[N] BE THE NUMBER OF MAILS SENT OUT AFTER N SECONDS.

SO , EACH OF THESE M/CS WILL SEND 10 MAILS IN NEXT 1 SECOND.

HENCE NUMBER OF MAILS SENT IN N+1 SECONDS=M[N+1]=

M[N+1]=10*M[N].......................1

THIS IS THE RECURRENCE RELATION.....

2.SOLUTION .....

M[N+1]=10M[N]=10*10M[N-1]=10*10*10M[N-2]=........

M(N+1)=[10^1][M(N)]=[10^2][M(N-1)]=[10^3][M(N-2)]=..........=[10^N][M(1)]=[10^(N+1)][M(0)]

M[N+1]=[10^(N+1)][1000]=[10^(N+1)][10^3]=[10^(N+4)]......................................2

THIS IS THE NUMBER OF MAILS SENT AFTER N+1 SECONDS .....OR ....

M[N]=[10^(N+3)].............................................3

..................IS THE SOLUTION FOR NUMBER OF MAILS SENT AFTER N SECONDS.....

3.AFTER N=20 SECONDS , THE ANSWER IS ....

M[20]=10^(20+3)=10^23

8 0

3 years ago

Read 2 more answers

Both families use 1250 kWh for the given 30 day period. The Freeman family uses 400 kWh during on-peak hours and 850 during off-

Natalka [10]

Ok ummm I honestly don’t know I’m so sorry I couldn’t help you wit this prob

8 0

3 years ago

HELP ASAP PLEASE

Roman55 [17]

Answer:

a. median is 8

b. first quartile is 7

c. third quartile is 9.5

d. below

e. below

Step-by-step explanation:

7, 10, 10, 6, 7, 8, 8, 7, 9.

Place number in order least to greatest

6, 7, 7, 7, 8, 8, 9, 10, 10

a. What is the median?

The median is the middle number in a data set

number of terms in data set (n) + 1 / 2 =

9 + 1 / 2 = 10 / 2

<u>6, 7, 7, 7,</u> 8, <u>8, 9, 10, 10</u>

The median is 8

b. What is the first quartile?

Q1 is the central point between the smallest score and the median

<u>6,</u> 7, 7<u>, 7 </u>

since there is even number of data points you find the average,

7 + 7 / 2 = 14 / 2 = 7

c. What is the third quartile?

Q3 is the central point between the median and the largest score

<u>8</u>, 9, 10, <u>10</u>

since there is even number of data points you find the average,

9 + 10 / 2 = 19 / 2 = 9.5

d. Draw a box plot of the data.

below

e. Write two conclusions about the data shown in the box plot.

There are no outliers with a minimum of 6 and a maximum of 10. The Interquartile Range is 2.5 (9.5 - 7)

3 0

2 years ago

Over which interval is the graph of the parent absolute value function f(x)=|x| decreasing?

pogonyaev

Answer:

(–∞, 0)

Step-by-step explanation:

The graph of the absolute value parent function f(x) = |x| is shown in the attached diagram.

We can clearly see that from -∞ to 0, the function is decreasing and from 0 to +∞, it is increasing. This is the basic, parent absolute value function.

THe questions asks, when is it decreasing, so clearly, it is from -∞ to 0.

This is the answer.

7 0

3 years ago

Last year,Jim opened an investment account with $7400. At the end of the year, the amount in account had increased by 26.5%. How

KonstantinChe [14]

Step-by-step explanation:

I=prt

I=7400×(26.5/100)×1

I=$1961

total money 7400+1962= $9361

7 0

3 years ago